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Finding the Third Proportional to 22,507 and 48,503

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Solution

The third proportional to 22,507 and 48,503 is: 104,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507 : 48,503 = 48,503 : x
  2. Step 2: Convert to fraction form
    22,507/48,503 = 48,503/x
  3. Step 3: Cross multiply
    22,507x = 48,503 × 48,503
  4. Step 4: Simplify right side
    22,507x = 2,352,541,009
  5. Step 5: Solve for x
    x = 2,352,541,009/22,507
  6. Step 6: Final answer
    x = 104,524.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.